Math Term 1 & 2 Review Quiz

Term 1

• Week 1: Revising quadratic patterns, sequences and series.
• Week 2: Number patterns, arithmetic and geometric sequences and series, sigma notation and sum of arithmetic series.
• Week 3: Sum of arithmetic and geometric series, including applications and derivation of formulas.
• Week 4: Functions: revisiting functions studied in earlier grades, including sketching and determining functions.
• Week 5: Functions: formal definition and inverse of linear and quadratic functions. Focus on graphing inverses and characteristics.

Term 2

• Week 1: Euclidean Geometry: revisiting similar polygons and sufficient conditions, midpoint theorem, and similar triangles.
• Week 2: Euclidean Geometry: Proportionality and similarity, including Pythagorean theorem by similar triangles.
• Week 3: Analytical Geometry: revisiting midpoints, gradients and distances; equations of lines; and lines parallel/perpendicular to a given line.
• Week 4: Analytical Geometry: equations of circles, determining intersection of circles (internally/externally), and tangents to circles.
• Week 5: Differential Calculus: introduction to polynomials, remainder and factor theorems, limit concept, derivative of a function at any x.
• Week 6: Differential Calculus: first principles and rules of differentiation, calculating derivatives using formulas.
• Week 7: Differential Calculus: determining equations of tangents, second derivative, concavity using second derivatives, and sketching cubic polynomial functions.
• Week 8: Applications of differential calculus, solving optimisation problems, and rates of change.

Term 3

• Week 1: Finance, Growth and Decay: revising simple/compound growth and decay formulas.
• Week 2: Finance, Growth and Decay: solving problems involving future value annuities and sinking funds, calculating n using logarithms.
• Week 3: Finance, Growth and Decay: calculating future/present value annuities and loans.
• Week 4: Statistics: revision of five-number summary, box and whisker plots; histograms, frequency polygons; ogives (cumulative frequency curves) and variance/standard deviation.
• Week 5: Statistics: Regression analysis, analysing bivariate data, least squares regression, comments on skewness.
• Week 6: Probability and Counting Principles: revising probability principles, fundamental counting principle, applying to probability problems, and using Venn diagrams.

Term 4

• Weeks 1-3: Revision of topics covered in the previous terms.
• Weeks 4-9: Final examinations.

General Notes

• Throughout: Pay attention to the required marking criteria for all assessment types such as investigations, assignments, examinations, etc. Detailed mathematical approaches (not just answers) need to be completed for full marks
• Modelling: Real world problems must be modelled and solved accordingly
• Paper 1 & 2: Make sure to understand the mark allocations for each topic and difficulty level.